The hilbert-space structure of quantum mechanics is related to the causal structure of space-time. The usual measurement hypotheses apparently preclude nonlinear or stochastic quantum evolution. By admitting a difference in the calculus of joint probabilities of events in space-time according to whether...
In general relativity, time functions are crucial objects whose existence and properties are intimately tied to the causal structure of a spacetime and also to the initial value formulation of the Einstein equations. In this work we establish all fundamental classical existence results on time function...
It is well known that in Lorentz-invariant quantum field theories in flat space the commutator of spacelike separated local operators vanishes (microcausality). We provide two different arguments showing that this is a consequence of the causal structure of the classical theory, rather than of Lore...
3,4,5,6 Beyond the simplest scenarios, however, the equivalence between spatial and temporal correlations breaks down, revealing a rich structure of correlations in either domain. Comparing the resources generating these correlations shows that temporal processes cannot mimic every spatial quantum ...
Some problems of the space-time causal structure are discussed using models with traversable wormholes. For this purpose the conditions of traversable wormhole matching with the exterior space-time are considered in detail and a mixed boundary problem for the Einstein equations is formulated and analyze...
Continuous-time stochastic processes pervade everyday experience, and the simulation of models of these processes is of great utility. Classical models of systems operating in continuous-time must typically track an unbounded amount of information about
causality is based on dynamical models, and causal influence has been formalized in the framework of the Doob鈥揗eyer decomposition of stochastic processes... D Commenges,A Gégout-Petit - 《Lifetime Data Analysis》 被引量: 15发表: 2015年 Advances in Lee–Schetzen Method for Volterra Filter...
Space, Time and Geometry || Temporally Symmetric Causal Relations in Minkowski Space-Time Suppes,Patrick 被引量: 0发表: 1973年 A new topology for curved space–time which incorporates the causal, differential, and conformal structures A new topology is proposed for strongly causal space–times. ...
Accurate flight trajectory prediction is a crucial and challenging task in air traffic control, especially for maneuver operations. Modern data-driven methods are typically formulated as a time series forecasting task and fail to retain high accuracy. Me
An interesting application of this work would be to consider how other approaches to incorporate space-time correlations in quantum theory18 could be used to the same effect as the PDO in this context, and also to explore how the CTC scenario would be describable in this approach. Although ...